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arXiv · 1408.2742

Interactions between delta-like sources and potentials

G. T. Camilo·F. E. Barone·F. A. Barone
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Abstract

The modified scalar boson propagator due to the presence of a hyperplane semi-transparent mirror is computed. From this, the classical interaction between static charges and the mirror is investigated employing delta-like potentials and sources. Although the calculations for hyperplane mirrors are performed in arbitrary dimensions, and in a completely general way, it is shown that the results give rise to the usual image method as a particular case. The interaction between a point-like mirror and a point-like source is also considered in $3+1$ dimensions, where a central $1/R^{2}$ attractive potential is also obtained as a special case.

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G. T. Camilo, F. E. Barone, F. A. Barone. 2014-08-12. Interactions between delta-like sources and potentials. https://doi.org/10.1103/physrevd.87.025011

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